10166006566001 has 32 divisors (see below), whose sum is σ = 11956069171200. Its totient is φ = 8521783951680.

The previous prime is 10166006565959. The next prime is 10166006566031. The reversal of 10166006566001 is 10066560066101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10166006566001 - 2¹⁴ = 10166006549617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10166006566031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925270430 + ... + 925281416.

It is an arithmetic number, because the mean of its divisors is an integer number (373627161600).

Almost surely, 2^{10166006566001} is an apocalyptic number.

10166006566001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10166006566001 is a deficient number, since it is larger than the sum of its proper divisors (1790062605199).

10166006566001 is a wasteful number, since it uses less digits than its factorization.

10166006566001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17349.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 10166006566001 in words is "ten trillion, one hundred sixty-six billion, six million, five hundred sixty-six thousand, one".